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Finding the Fourth Proportional to 174.97, 258.88 and 174.43

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Solution

The fourth proportional to 174.97, 258.88 and 174.43 is: 258.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.97 : 258.88 = 174.43 : x
  2. Step 2: Convert to fraction form
    174.97/258.88 = 174.43/x
  3. Step 3: Cross multiply
    174.97x = 258.88 × 174.43
  4. Step 4: Simplify right side
    174.97x = 45,156.44
  5. Step 5: Solve for x
    x = 45,156.44/174.97
  6. Step 6: Final answer
    x = 258.08

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.